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Finding the Third Proportional to 2,139,664,200 and 4,659,182,004

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Solution

The third proportional to 2,139,664,200 and 4,659,182,004 is: 10,145,506,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,664,200 : 4,659,182,004 = 4,659,182,004 : x
  2. Step 2: Convert to fraction form
    2,139,664,200/4,659,182,004 = 4,659,182,004/x
  3. Step 3: Cross multiply
    2,139,664,200x = 4,659,182,004 × 4,659,182,004
  4. Step 4: Simplify right side
    2,139,664,200x = 21,707,976,946,397,454,336
  5. Step 5: Solve for x
    x = 21,707,976,946,397,454,336/2,139,664,200
  6. Step 6: Final answer
    x = 10,145,506,452.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.